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Simplifying 21 + -7x = -5(6 + -8x) + 4x 21 + -7x = (6 * -5 + -8x * -5) + 4x 21 + -7x = (-30 + 40x) + 4x Combine like terms: 40x + 4x = 44x 21 + -7x = -30 + 44x Solving 21 + -7x = -30 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 21 + -7x + -44x = -30 + 44x + -44x Combine like terms: -7x + -44x = -51x 21 + -51x = -30 + 44x + -44x Combine like terms: 44x + -44x = 0 21 + -51x = -30 + 0 21 + -51x = -30 Add '-21' to each side of the equation. 21 + -21 + -51x = -30 + -21 Combine like terms: 21 + -21 = 0 0 + -51x = -30 + -21 -51x = -30 + -21 Combine like terms: -30 + -21 = -51 -51x = -51 Divide each side by '-51'. x = 1 Simplifying x = 1
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